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545413120 = 2115721087
BaseRepresentation
bin100000100000100…
…101100000000000
31102000021212010221
4200200211200000
52104111204440
6130042032424
716341635500
oct4040454000
91360255127
10545413120
1125a964a4a
121327a8714
1388cc5775
1452617a00
1532d38d4a
hex20825800

545413120 has 144 divisors (see below), whose sum is σ = 1523733120. Its totient is φ = 186826752.

The previous prime is 545413103. The next prime is 545413123. The reversal of 545413120 is 21314545.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (545413123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 501217 + ... + 502303.

It is an arithmetic number, because the mean of its divisors is an integer number (10581480).

Almost surely, 2545413120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 545413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761866560).

545413120 is an abundant number, since it is smaller than the sum of its proper divisors (978320000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

545413120 is a wasteful number, since it uses less digits than its factorization.

545413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 545413120 is about 23354.0814420092. The cubic root of 545413120 is about 817.0372558439.

Adding to 545413120 its reverse (21314545), we get a palindrome (566727665).

The spelling of 545413120 in words is "five hundred forty-five million, four hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 256 280 320 392 448 490 512 560 640 784 896 980 1024 1087 1120 1280 1568 1792 1960 2048 2174 2240 2560 3136 3584 3920 4348 4480 5120 5435 6272 7168 7609 7840 8696 8960 10240 10870 12544 14336 15218 15680 17392 17920 21740 25088 30436 31360 34784 35840 38045 43480 50176 53263 60872 62720 69568 71680 76090 86960 100352 106526 121744 125440 139136 152180 173920 213052 243488 250880 266315 278272 304360 347840 426104 486976 501760 532630 556544 608720 695680 852208 973952 1065260 1113088 1217440 1391360 1704416 1947904 2130520 2226176 2434880 2782720 3408832 3895808 4261040 4869760 5565440 6817664 7791616 8522080 9739520 11130880 13635328 15583232 17044160 19479040 27270656 34088320 38958080 54541312 68176640 77916160 109082624 136353280 272706560 545413120